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3 years ago

Fine the midpoint of the segment with the given points (6,-7) and (-5,1)

Mathematics

1 answer:

REY [17]3 years ago

8 0

Answer:

The answer is

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(6,-7) and (-5,1)

The midpoint is

We have the final answer as

Hope this helps you

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The diagram shows the net of a square pyramid.

fenix001 [56]

Answer:

Given,

Base (b) = 16 cm

slant Height (h) = 15 cm

a= 8 cm {a is the half of base}

x = ?

Using Pythagoras Theorem

p^2 = h^2 - b^2

x^2= 15 - 8

x^2 = 7

x = 2.64 cm

4 0

3 years ago

Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

Find the range of 5,3,1,1,3,3,4,4,4,1,1,4,2,2,5,5,5,2,5,5

ExtremeBDS [4]

Answer: 4

find the largest number (5) and take away the smallest (1)

5-1=4

6 0

3 years ago

GE produces 5 different sizes of TVs using 2 machines. Different sizes of TVs take different amount of time to get processed at

OLga [1]

Answer:

Option # C: 5

Step-by-step explanation:

Decision variables, as the name imply are entities that can have different values in the given scenario and which in turn produce different outcomes. For our question, the variables are the sizes of TVs available, as the production time and profit depend on the sizes. Hence, TV sizes (i.e. 5) are our decision variables.

Furthermore, it does not matter on which machine the TVs are being manufactured as they will take identical time for same TV size. Thus we do not consider the number of machines as our decision variables.

8 0

3 years ago

Find the numerical coefficient of 7x^3

Travka [436]

Answer:

Step-by-step explanation:

4 0

3 years ago